# Geometry & Trigno revision WS 1.docx - Unit 3: Geometry and...

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Unit 3: Geometry and TrigonometryRevision Task_______________________________________________________________________________________
1.A swimming pool with the dimensions shown is filled with water. The cost to fillthe pool is \$0.15 per cubic metre of water. Find the cost of filling the pool.2.A silo has a cylindrical part and a roof that is a hemisphere. The radius of thecylinder is 3 m and its height is 12 m.a.Find the volume of the silo,b.The entire silo is to be painted. Find how much paint is needed if 1 L of paintcovers 8.5 m2 of surface.3.A triangular field has boundaries of h length 170 m, 195 m and 210 m.a.Find the size of the largest interior angle of the field.b.Hence find the area of the field, correct to 3 sf.
4.In the following diagram, the plane h figure ABCD is part of a sector of a circle. OA= AB = 8 cm and AOD =θ°.Given that the area of ABCD is 200 cm2, determine the value ofθ. Give youranswer correct to the nearest degree.
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Unformatted text preview: 5. The diagram shows a quadrilateral ABCD. a.Find the perimeter of the quadrilateral. b.Find the area of the quadrilateral. 6. ABCDE is a square-based pyramid. The vertex E is situated directly above the centre of the lace ABCD. AB = 16 cm and AE = 20 cm.a. Calculate the angle between the line [AE] and the plane face ABCD. b.Calculate the angle between the plane face BCE and the face ABCD. c.Calculate the angle between the line [AE] and the line [EC]. d.Find the volume of the pyramid. e.Find the total surface area of the pyramid. 7.An ice cream cone consists of a circular cone and a hemisphere of ice cream, joined at their circular face. The hemisphere has radius 4 cm and the cone's perpendicular height is 9 cm.a. Find the total volume of ice cream and cone, giving your answer in terms of n b. Find the total surface area, giving your answer to 3 sf. (5 marks)...
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